query stringlengths 1.97k 3.05k | choices listlengths 4 4 | gold listlengths 1 1 |
|---|---|---|
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)2",
"(B)4",
"(C)9",
"(D)10"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-1+12 i$",
"(B)$-1-6 i$",
"(C)$15+12 i$",
"(D)$15-6 i$ 3"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$9 m p$",
"(B)$20 m p$",
"(C)$5 m+4 p$",
"(D)$4 m+5 p$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Kathy will complete the repairs within 108 days.",
"(B)Kathy starts each week with 108 phones to fix.",
"(C)Kathy repairs phones at a rate of 108 per hour.",
"(D)Kathy repairs phones at a rate of 108 per day."
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$4 x^{2} y^{2}$",
"(B)$8 x y^{2}-6 y^{2}$",
"(C)$2 x^{2} y+2 x y^{2}$",
"(D)$2 x^{2} y+8 x y^{2}-6 y^{2}$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)3",
"(B)$\\quad 5.7$",
"(C)9.5",
"(D)14.3"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$P=\\frac{\\left(\\frac{r}{1,200}\\right)\\left(1+\\frac{r}{1,200}\\right)^{N}}{\\left(1+\\frac{r}{1,200}\\right)^{N}-1} m$",
"(B)$P=\\frac{\\left(1+\\frac{r}{1,200}\\right)^{N}-1}{\\left(\\frac{r}{1,200}\\right)\\left(1+\\frac{r}{1,200}\\right)^{N}} m$",
"(C)$P=\\left(\\frac{r}{1,200}\\right) m$",
"(D)$P... | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)0",
"(B)1",
"(C)2",
"(D)4"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(-5,-2)$",
"(B)$(3,-8)$",
"(C)$(4,-6)$",
"(D)$(9,-6)$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)8",
"(B)0",
"(C)-1",
"(D)-8"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\$ 2.60$",
"(B)$\\$ 2.85$",
"(C)$\\$ 2.95$",
"(D)$\\$ 3.35$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(0,7)$",
"(B)$(1,7)$",
"(C)$(7,7)$",
"(D)$(14,2)$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{2 x+5}{x^{2}+5 x+6}$",
"(B)$\\frac{x^{2}+5 x+6}{2 x+5}$",
"(C)$2 x+5$",
"(D)$x^{2}+5 x+6$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$2^{12}$",
"(B)4",
"(C)$8^{2}$",
"(D)The value cannot be determined from the information given."
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)3 and 5",
"(B)6 and 35",
"(C)10 and 21",
"(D)31 and 41"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)6",
"(B)15",
"(C)20",
"(D)23"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)2",
"(B)6",
"(C)16",
"(D)80 5"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\quad 0.002$",
"(B)$\\quad 200$",
"(C)$\\quad 2,000$",
"(D)20,000"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)0",
"(B)1",
"(C)2",
"(D)There is no such value of $n$."
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$t=\\frac{a-1,052}{1.08}$",
"(B)$t=\\frac{a+1,052}{1.08}$",
"(C)$t=\\frac{1,052-a}{1.08}$",
"(D)$t=\\frac{1.08}{a+1,052}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-46^{\\circ} \\mathrm{F}$",
"(B)$-48^{\\circ} \\mathrm{F}$",
"(C)$-49^{\\circ} \\mathrm{F}$",
"(D)$-50^{\\circ} \\mathrm{F}$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-1",
"(B)-2",
"(C)-3",
"(D)-5"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Females taking Geometry",
"(B)Females taking Algebra II",
"(C)Males taking Geometry",
"(D)Males taking Algebra I"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Mean",
"(B)Median",
"(C)Range",
"(D)They will all change by the same amount."
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$a>b$",
"(B)$b>a$",
"(C)$|a|>|b|$",
"(D)$a=-b$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)77",
"(B)93",
"(C)99",
"(D)105"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$0.88 p$",
"(B)$\\frac{p}{0.88}$",
"(C)$(0.8)(1.08) p$",
"(D)$\\frac{p}{(0.8)(1.08)}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{68}{100}$",
"(B)$\\frac{79}{100}$",
"(C)$\\frac{79}{164}$",
"(D)$\\frac{164}{200}$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x^{2}+(y-4)^{2}=\\frac{25}{9}$",
"(B)$x^{2}+(y+4)^{2}=\\frac{25}{9}$",
"(C)$x^{2}+(y-4)^{2}=\\frac{5}{3}$",
"(D)$x^{2}+(y+4)^{2}=\\frac{3}{5}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)3.5",
"(B)4.0",
"(C)4.5",
"(D)5.0"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)115",
"(B)120",
"(C)124",
"(D)173"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\quad 150$",
"(B)$\\quad 1,500$",
"(C)15,000",
"(D)150,000"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x-5$ is a factor of $p(x)$.",
"(B)$x-2$ is a factor of $p(x)$.",
"(C)$x+2$ is a factor of $p(x)$.",
"(D)The remainder when $p(x)$ is divided by $x-3$ is -2 ."
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-2",
"(B)-1",
"(C)$\\frac{1}{2}$",
"(D)1"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$300=30 w-60$",
"(B)$300=30 w$",
"(C)$300=30 w+60$",
"(D)$300=60 w-30$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$f(x)=0.99 x$",
"(B)$f(x)=0.99 x+11.99$",
"(C)$f(x)=3.39 x$",
"(D)$f(x)=3.39 x+16.94$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$3 x$",
"(B)$3 x^{2}$",
"(C)$18 x$",
"(D)$18 x^{4}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-3",
"(B)0",
"(C)1",
"(D)-3 and -1"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$(x-5)^{2}+(y-7)^{2}=4$",
"(B)$(x+5)^{2}+(y+7)^{2}=4$",
"(C)$(x-5)^{2}+(y-7)^{2}=2$",
"(D)$(x+5)^{2}+(y+7)^{2}=2$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)1",
"(B)2",
"(C)3",
"(D)4"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)I only",
"(B)II only",
"(C)I and II",
"(D)Neither I nor II"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-6",
"(B)-3",
"(C)3",
"(D)6"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$y=40+21$",
"(B)$y=40+21 t$",
"(C)$y=40-21 t$",
"(D)$y=40 t+21$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)5",
"(B)10",
"(C)15",
"(D)35"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-2",
"(B)-1",
"(C)1",
"(D)2"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-4 x^{2}$",
"(B)$3 x^{3}-x^{2}$",
"(C)$2 x^{3}-3 x$",
"(D)$2 x^{3}-6 x^{2}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Selecting one of the 50 stores at random and then surveying each employee at that store",
"(B)Selecting 10 employees from each store at random and then surveying each employee selected",
"(C)Surveying the 25 highest-paid employees and the 25 lowest-paid employees",
"(D)Creating a website on which employee... | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)2",
"(B)4",
"(C)24",
"(D)28"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)It is unlikely that less than $23 \\%$ of the students see a movie at least once per month.",
"(B)At least 23\\%, but no more than $25 \\%$, of the students see a movie at least once per month.",
"(C)The researcher is between $19 \\%$ and $27 \\%$ sure that most students see a movie at least once per month.... | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The means are the same, and the standard deviations are different.",
"(B)The means are the same, and the standard deviations are the same.",
"(C)The means are different, and the standard deviations are different.",
"(D)The means are different, and the standard deviations are the same."
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\$ 7.20$",
"(B)$\\$ 10.80$",
"(C)$\\$ 30.00$",
"(D)$\\$ 45.00$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$2 \\sqrt{3}$",
"(B)6",
"(C)12",
"(D)36"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)60,000",
"(B)90,000",
"(C)160,000",
"(D)240,000"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{4 \\pi}{3 V}$",
"(B)$\\frac{3 V}{4 \\pi}$",
"(C)$\\sqrt[3]{\\frac{4 \\pi}{3 V}}$",
"(D)$\\sqrt[3]{\\frac{3 V}{4 \\pi}}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)0.31",
"(B)0.38",
"(C)0.45",
"(D)0.69"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Its minimum occurs at $(-3, a)$.",
"(B)Its minimum occurs at $(3, a)$.",
"(C)Its maximum occurs at $(-3, a)$.",
"(D)Its maximum occurs at $(3, a)$."
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The mean",
"(B)The median",
"(C)The range",
"(D)The standard deviation"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)5",
"(B)25",
"(C)50",
"(D)100"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The function $f$ is a decreasing linear function.",
"(B)The function $f$ is an increasing linear function.",
"(C)The function $f$ is a decreasing exponential function.",
"(D)The function $f$ is an increasing exponential function."
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x+2 y=a$",
"(B)$x+2 y=5 a$",
"(C)$2 x-y=-5 a$",
"(D)$2 x-y=7 a$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-0.5",
"(B)-0.25",
"(C)0.8",
"(D)1.75"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$P(t)=310^{t}$",
"(B)$P(t)=310^{1.01 t}$",
"(C)$P(t)=310(0.99)^{t}$",
"(D)$P(t)=310(1.01)^{t}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-4",
"(B)$-\\frac{4}{5}$",
"(C)$-\\frac{2}{3}$",
"(D)4"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The approximate femur length, in inches, for a man with a height of 32.01 inches",
"(B)The approximate increase in a man's femur length, in inches, for each increase of 32.01 inches in his height",
"(C)The approximate increase in a man's femur length, in inches, for each one-inch increase in his height",
... | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$h$",
"(B)$\\ell$",
"(C)$K$",
"(D)$n$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)6",
"(B)27",
"(C)36",
"(D)39"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\sqrt{a^{\\frac{1}{3}}}$",
"(B)$\\sqrt{a^{3}}$",
"(C)$\\sqrt[3]{a^{\\frac{1}{2}}}$",
"(D)$\\sqrt[3]{a^{2}}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$30 x=2$",
"(B)$2 x=30$",
"(C)$\\frac{x}{2}=30$",
"(D)$x+30=2$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)10",
"(B)5",
"(C)2",
"(D)$\\frac{1}{2}$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-20",
"(B)$\\quad-8$",
"(C)-4",
"(D)8"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x-2$",
"(B)$x-3$",
"(C)$x-4$",
"(D)$x-5$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{d-4}{c}$",
"(B)$\\frac{c-4}{d}$",
"(C)$\\frac{4-d}{c}$",
"(D)$\\frac{4-c}{d}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{12}{5}$",
"(B)$\\frac{16}{7}$",
"(C)$-\\frac{16}{7}$",
"(D)$-\\frac{12}{5}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)10",
"(B)12",
"(C)14",
"(D)16"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$-9 a$",
"(B)$-8 a$",
"(C)$-5 a$",
"(D)$-2 a$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)-16",
"(B)-3",
"(C)3",
"(D)16"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x=-2 \\pm \\sqrt{2}$",
"(B)$x=-2 \\pm \\frac{\\sqrt{30}}{3}$",
"(C)$x=-6 \\pm \\sqrt{2}$",
"(D)$x=-6 \\pm 6 \\sqrt{2}$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)I only",
"(B)II only",
"(C)III only",
"(D)I and II only"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{4}{25}$",
"(B)$\\frac{10}{25}$",
"(C)$\\frac{11}{25}$",
"(D)$\\frac{16}{25}$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$f(n)=n-3$",
"(B)$f(n)=2 n-4$",
"(C)$f(n)=3 n-5$",
"(D)$f(n)=4 n-6$"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)140",
"(B)69",
"(C)39",
"(D)30"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$8 x^{2}-7 x-4$",
"(B)$8 x^{2}+7 x-4$",
"(C)$8 x^{4}-7 x^{2}-4$",
"(D)$8 x^{4}+7 x^{2}-4$"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\frac{9}{20}$",
"(B)$\\frac{4}{5}$",
"(C)$\\frac{5}{4}$",
"(D)$\\frac{20}{9}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The total number of students at the school in 2000",
"(B)The average number of students per classroom in 2000",
"(C)The estimated increase in the average number of students per classroom each year",
"(D)The estimated difference between the average number of students per classroom in 2010 and in 2000"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)150 meters",
"(B)450 meters",
"(C)700 meters",
"(D)1,400 meters"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)25",
"(B)86",
"(C)101",
"(D)324"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Venus",
"(B)Saturn",
"(C)Uranus",
"(D)Neptune"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$v=h+k-16 t$",
"(B)$v=\\frac{h-k+16}{t}$",
"(C)$v=\\frac{h+k}{t}-16 t$",
"(D)$v=\\frac{h-k}{t}+16 t$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Treatment $\\mathrm{X}$ is likely to improve the eyesight of people who have poor eyesight.",
"(B)Treatment $\\mathrm{X}$ improves eyesight better than all other available treatments.",
"(C)Treatment $X$ will improve the eyesight of anyone who takes it.",
"(D)Treatment $\\mathrm{X}$ will cause a substanti... | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)The quantity supplied will decrease by 5 units.",
"(B)The quantity supplied will increase by 5 units.",
"(C)The quantity supplied will increase by 10 units.",
"(D)The quantity supplied will increase by 50 units."
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$\\$ 90$",
"(B)$\\$ 120$",
"(C)$\\$ 133$",
"(D)$\\$ 155$"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)250",
"(B)350",
"(C)450",
"(D)1,350"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)Each successive year, $2 \\%$ of the initial savings is added to the value of the account.",
"(B)Each successive year, $1.5 \\%$ of the initial savings and $\\$ 100$ is added to the value of the account.",
"(C)Each successive year, $1 \\%$ of the current value is added to the value of the account.",
"(D)E... | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)570",
"(B)513",
"(C)214",
"(D)155"
] | [
1
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)16",
"(B)21",
"(C)23",
"(D)26"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)0",
"(B)4",
"(C)8",
"(D)16"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)12",
"(B)15",
"(C)20",
"(D)22"
] | [
2
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$50,000(0.1)^{20 t}$",
"(B)$50,000(0.1)^{\\frac{t}{20}}$",
"(C)$50,000(0.9)^{20 t}$",
"(D)$50,000(0.9)^{\\frac{t}{20}}$"
] | [
3
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)0.410",
"(B)0.357",
"(C)0.333",
"(D)0.250"
] | [
0
] |
Q: $$(x-6)^{2}+(y+5)^{2}=16$$In the $x y$-plane, the graph of the equation above is a circle. Point $P$ is on the circle and has coordinates $(10,-5)$. If $\overline{P Q}$ is a diameter of the circle, what are the coordinates of point $Q$ ? Answer Choices: (A)$(2,-5)$ (B)$(6,-1)$ (C)$(6,-5)$ (D)$(6,-9)$
A: Among {} thr... | [
"(A)$x$ is $y$ minus $\\frac{1}{4}$.",
"(B)$x$ is $y$ minus $\\frac{1}{2}$.",
"(C)$x$ is $y$ minus 1 .",
"(D)$x$ is $y$ plus $\\frac{1}{2}$."
] | [
0
] |
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